The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 3 1 1 1 0 9 0 0 9 0 9 9 18 0 0 9 9 0 18 9 18 18 0 9 18 0 9 18 18 18 18 0 0 0 9 9 0 9 9 18 0 0 9 9 0 18 9 18 18 0 9 18 0 9 18 18 18 18 0 0 9 9 0 18 9 9 9 0 9 9 0 9 0 0 9 0 18 18 18 18 18 18 18 18 0 0 0 0 9 9 0 0 9 0 18 9 18 9 18 0 9 9 0 18 0 0 9 9 18 18 18 18 9 0 0 9 18 0 0 9 18 9 9 18 0 18 0 9 9 0 18 0 0 9 9 18 18 18 18 9 0 0 9 18 0 9 18 9 9 0 9 0 18 9 9 0 0 18 18 18 0 18 0 9 9 0 9 18 18 18 0 0 0 9 18 9 0 0 0 9 18 18 0 18 18 18 9 0 18 0 18 9 9 0 9 9 9 18 9 0 9 18 0 0 9 18 18 18 9 9 9 18 18 0 0 0 9 9 18 18 9 0 0 0 18 9 0 18 0 9 9 18 18 18 9 9 0 0 0 0 9 9 18 9 0 9 18 18 0 18 9 18 0 0 9 18 0 9 0 18 18 18 generates a code of length 86 over Z27 who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+20x^168+20x^171+642x^172+30x^174+10x^177+6x^199 The gray image is a code over GF(3) with n=774, k=6 and d=504. This code was found by Heurico 1.16 in 0.264 seconds.